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Two superconductors coupled by a weak link support an equilibrium Josephson electrical current which depends on the phase difference $\varphi$ between the superconducting condensates [1]. Yet, when a temperature gradient is imposed across…

Mesoscale and Nanoscale Physics · Physics 2017-05-25 Antonio Fornieri , Giuliano Timossi , Pauli Virtanen , Paolo Solinas , Francesco Giazotto

The Josephson junction is a building block of quantum circuits. Its behavior, well understood when treated as an isolated entity, is strongly affected by coupling to an electromagnetic environment. In 1983, Schmid predicted that a Josephson…

We study the influence of dissipation on the switching current statistics of moderately damped Josephson junctions. Different types of both low- and high- $T_c$ junctions with controlled damping are studied. The damping parameter of the…

Superconductivity · Physics 2011-03-11 V. M. Krasnov , T. Golod , T. Bauch , P. Delsing

In a recent Letter [Phys. Rev. Lett. 129, 087001, (2022)], Masuki, Sudo, Oshikawa, and Ashida studied a Josephson junction, with Josephson energy $E_{\rm J}$ and charging energy $E_{\rm C}$, shunted by an ohmic transmission line with…

Superconductivity · Physics 2025-02-10 Théo Sépulcre , Serge Florens , Izak Snyman

We study analytically an underdamped current-biased topological Josephson junction. First, we consider a simplified model at zero temperature, where the parity of the non-local fermionic state formed by Majorana bound states (MBSs)…

Superconductivity · Physics 2020-09-23 Aleksandr E. Svetogorov , Daniel Loss , Jelena Klinovaja

We investigate the resistively shunted Josephson junction (RSJ) at equilibrium, using linear response, an exact path integral technique and symmetry considerations. All three approaches independently lead to conclude that the…

Superconductivity · Physics 2025-01-16 Carles Altimiras , Daniel Esteve , Çağlar Girit , Hélène le Sueur , Philippe Joyez

We have observed, for the first time, a temperature dependent 0-pi junction crossover in a 45 symmetric [001] tilt grain boundary junction. Experimental data, obtained by a double phase-sensitive test based on a low inductance dc SQUID,…

Superconductivity · Physics 2007-05-23 G. Testa , A. Monaco , E. Esposito , E. Sarnelli , D. -J. Kang , E. J. Tarte , S. H. Mennema , M. G. Blamire

We have investigated the dynamics of underdamped Josephson junctions. In addition to the usual crossover between macroscopic quantum tunnelling and thermally activated (TA) behaviour we observe in our samples with relatively small Josephson…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 J. M. Kivioja , T. E. Nieminen , J. Claudon , O. Buisson , F. W. J. Hekking , J. P. Pekola

Switching current distributions have for decades been an indispensable diagnostic tool for studying Josephson junctions. They have played a key role in testing the conjecture of a macroscopic quantum state in junctions at millikelvin…

Superconductivity · Physics 2020-09-22 James A. Blackburn

It is important to know the decoherence mechanism of a qubit based on Josephson junctions. At low temperatures, as quasiparticle concentration becomes exponentially small, one needs to consider energy transfer from tunneling electrons to…

Superconductivity · Physics 2014-08-15 L. N. Bulaevskii , Shi-Zeng Lin

Schmid transition was introduced first as a superconductor-insulator transition in the zero-frequency response of a shunted Josephson junction in equilibrium at zero temperature. As it is typical for a quantum impurity problem, at finite…

Superconductivity · Physics 2023-08-31 Manuel Houzet , Tsuyoshi Yamamoto , Leonid I. Glazman

We study the quantum phase transition of the one-dimensional phase model in the presence of dissipative frustration, provided by an interaction of the system with the environment through two non-commuting operators. Such a model can be…

Statistical Mechanics · Physics 2018-04-25 Dominik Maile , Sabine Andergassen , Wolfgang Belzig , Gianluca Rastelli

Quantum dots attached to BCS superconducting leads exhibit a $0-\pi$ impurity quantum phase transition, which can be experimentally controlled either by the gate voltage or by the superconducting phase difference. For the pertinent…

Mesoscale and Nanoscale Physics · Physics 2020-07-27 Alžběta Kadlecová , Martin Žonda , Vladislav Pokorný , Tomáš Novotný

We study theoretically the effect of interactions between quantum phase slips in a short superconducting wire beyond the dilute phase slip approximation. In contrast to the smooth transition in dissipative Josephson junctions, our analysis…

Superconductivity · Physics 2013-05-29 Dganit Meidan , Yuval Oreg , Gil Refael

The Josephson effect represents perhaps the prototype of macroscopic phase coherence and is at the basis of the most widespread interferometer, i.e., the superconducting quantum interference device (SQUID). Yet, in analogy to electric…

Mesoscale and Nanoscale Physics · Physics 2013-03-21 F. Giazotto , M. J. Martinez-Perez

A non-band theory is developed to describe the superconductor-insulator (SI) transtition in resistively shunted, single Josephson junctions. The $I-V$ characteristic is formulated by a Landauer-like formula and evaluated by the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 S. G. Chung

Control and manipulation of quantum states by measurements and bath engineering in open quantum systems have emerged as new paradigms in many-body physics. Here, taking a prototypical example of Josephson junction arrays (JJAs), we show how…

Superconductivity · Physics 2025-11-21 Purnendu Das , Sumilan Banerjee

A proximity-effect thermometer measures the temperature dependent critical supercurrent in a long superconductor - normal metal - superconductor (SNS) Josephson junction. Typically, the transition from the superconducting to the normal…

Superconductivity · Physics 2010-03-29 M. Meschke , J. T. Peltonen , H. Courtois , J. P. Pekola

Thermal activation and macroscopic quantum tunneling in current-biased discrete Josephson transmission lines are studied theoretically. The degrees of freedom under consideration are the phases across the junctions which are coupled to each…

Superconductivity · Physics 2009-10-31 Thorsten Droese , Cristiane Morais-Smith

Near a quantum critical point (QCP) in a metal, strong Fermion-Fermion interactions mediated by soft collective bosons give rise to two competing phenomena: non-Fermi liquid behavior and superconductivity that deviates from conventional BCS…

Superconductivity · Physics 2025-12-24 Ahmed Elezaby , Artem Abanov